Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800a |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7902720 |
Modular degree for the optimal curve |
Δ |
-1.976586608435E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -5 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23704408,-44464923188] |
[a1,a2,a3,a4,a6] |
Generators |
[39320991360257232162:3633900559502907631075:3558172348944296] |
Generators of the group modulo torsion |
j |
-46032132321966895778/61768331513595 |
j-invariant |
L |
4.2961296911043 |
L(r)(E,1)/r! |
Ω |
0.034207973193325 |
Real period |
R |
31.397137056505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960o1 |
Quadratic twists by: 5 |